Information on Result #614041
Linear OA(580, 125, F5, 42) (dual of [125, 45, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(580, 125, F5, 41) (dual of [125, 45, 42]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(581, 126, F5, 42) (dual of [126, 45, 43]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(578, 123, F5, 40) (dual of [123, 45, 41]-code) | [i] | Truncation | |
| 4 | Linear OA(583, 128, F5, 43) (dual of [128, 45, 44]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(582, 130, F5, 42) (dual of [130, 48, 43]-code) | [i] | ✔ | |
| 6 | Linear OA(587, 132, F5, 44) (dual of [132, 45, 45]-code) | [i] | ✔ | |
| 7 | Linear OA(581, 132, F5, 40) (dual of [132, 51, 41]-code) | [i] | ✔ | |
| 8 | Linear OA(584, 135, F5, 42) (dual of [135, 51, 43]-code) | [i] | ✔ | |
| 9 | Linear OA(582, 131, F5, 41) (dual of [131, 49, 42]-code) | [i] | ✔ | |
| 10 | Linear OA(595, 140, F5, 47) (dual of [140, 45, 48]-code) | [i] | ✔ | |
| 11 | Linear OA(593, 138, F5, 46) (dual of [138, 45, 47]-code) | [i] | ✔ | |
| 12 | Linear OA(586, 140, F5, 42) (dual of [140, 54, 43]-code) | [i] | ✔ | |
| 13 | Linear OA(584, 138, F5, 41) (dual of [138, 54, 42]-code) | [i] | ✔ | |
| 14 | Linear OA(599, 144, F5, 48) (dual of [144, 45, 49]-code) | [i] | ✔ | |
| 15 | Linear OA(590, 147, F5, 42) (dual of [147, 57, 43]-code) | [i] | ✔ | |
| 16 | Linear OA(587, 144, F5, 40) (dual of [144, 57, 41]-code) | [i] | ✔ | |
| 17 | Linear OA(592, 152, F5, 42) (dual of [152, 60, 43]-code) | [i] | ✔ | |
| 18 | Linear OA(590, 150, F5, 41) (dual of [150, 60, 42]-code) | [i] | ✔ | |
| 19 | Linear OA(5103, 150, F5, 48) (dual of [150, 47, 49]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 20 | Linear OA(5102, 148, F5, 48) (dual of [148, 46, 49]-code) | [i] | ✔ | |
| 21 | Linear OA(594, 137, F5, 47) (dual of [137, 43, 48]-code) | [i] | ✔ | |
| 22 | Linear OA(591, 134, F5, 45) (dual of [134, 43, 46]-code) | [i] | ✔ | |
| 23 | Linear OA(597, 144, F5, 46) (dual of [144, 47, 47]-code) | [i] | ✔ | |
| 24 | Linear OA(598, 144, F5, 47) (dual of [144, 46, 48]-code) | [i] | ✔ | |
| 25 | Linear OA(596, 142, F5, 46) (dual of [142, 46, 47]-code) | [i] | ✔ | |
| 26 | Linear OA(591, 138, F5, 44) (dual of [138, 47, 45]-code) | [i] | ✔ | |
| 27 | Linear OA(590, 136, F5, 44) (dual of [136, 46, 45]-code) | [i] | ✔ | |
| 28 | Linear OA(586, 132, F5, 43) (dual of [132, 46, 44]-code) | [i] | ✔ | |
| 29 | Linear OA(583, 132, F5, 42) (dual of [132, 49, 43]-code) | [i] | ✔ | |
| 30 | Linear OA(585, 137, F5, 42) (dual of [137, 52, 43]-code) | [i] | ✔ | |
| 31 | Linear OA(582, 134, F5, 40) (dual of [134, 52, 41]-code) | [i] | ✔ | |
| 32 | Linear OA(588, 144, F5, 41) (dual of [144, 56, 42]-code) | [i] | ✔ | |
| 33 | Linear OA(589, 144, F5, 42) (dual of [144, 55, 43]-code) | [i] | ✔ | |
| 34 | Linear OA(587, 142, F5, 41) (dual of [142, 55, 42]-code) | [i] | ✔ | |
| 35 | Linear OA(591, 149, F5, 42) (dual of [149, 58, 43]-code) | [i] | ✔ | |
| 36 | Linear OA(588, 146, F5, 40) (dual of [146, 58, 41]-code) | [i] | ✔ | |
| 37 | Linear OA(590, 151, F5, 40) (dual of [151, 61, 41]-code) | [i] | ✔ | |